400653 has 32 divisors (see below), whose sum is σ = 691200. Its totient is φ = 226800.

The previous prime is 400651. The next prime is 400657. The reversal of 400653 is 356004.

It is a happy number.

400653 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 400653 - 2¹ = 400651 is a prime.

400653 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5608 + ... + 5678.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁴⁰⁰⁶⁵³ is an apocalyptic number.

It is an amenable number.

400653 is a deficient number, since it is larger than the sum of its proper divisors (290547).

400653 is a wasteful number, since it uses less digits than its factorization.

400653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 400653 is about 632.9715633423. The cubic root of 400653 is about 73.7207027173.

Adding to 400653 its reverse (356004), we get a palindrome (756657).

The spelling of 400653 in words is "four hundred thousand, six hundred fifty-three".